It appears that over a wide temperature range the vapor pressure of Na is about one or two orders of magnitude lower than that of K, which would
correspond to probably a similar magnitude difference of time required to distill over the metal.
https://www.researchgate.net/figure/Calculated-vapor-pressur...
https://www.researchgate.net/figure/Fig-C1-Vapor-pressure-fo...
https://www.researchgate.net/figure/apor-pressures-of-potass... |